257 citations · 1.2k across the 45 of their papers we have counts for
6 papers · 1 filter
Strongly hyperbolic quasilinear systems revisited, with applications to relativistic fluid dynamics
Marcelo M. Disconzi, Yuanzhen Shao
We revisit the theory of first-order quasilinear systems with diagonalizable principal part and only real eigenvalues, what is commonly referred to as strongly hyperbolic systems.…
Recent developments in mathematical aspects of relativistic fluids
Marcelo M. Disconzi
We review some recent developments in mathematical aspects of relativistic fluids. The goal is to provide a quick entry point to some research topics of current interest that is ac…
Local well-posedness and singularity formation in non-Newtonian compressible fluids
Ariel Lerman, Marcelo M. Disconzi, Jorge Noronha
We investigate the initial value problem of a very general class of non-Newtonian compressible fluids in which the viscous stress tensor with shear and bulk viscosity relaxes…
Dispersion relations alone cannot guarantee causality
Lorenzo Gavassino, Marcelo M. Disconzi, Jorge Noronha
We show that linear superpositions of plane waves involving a single-valued, covariantly stable dispersion relation always propagate outside the lightcone, unless $ω(k) =a+b…
Universality Classes of Relativistic Fluid Dynamics: Applications
L. Gavassino, M. M. Disconzi, J. Noronha
Using a formalism that was recently developed in a companion paper, we rigorously prove the equivalence, in the linear regime, of a number of apparently different relativistic hydr…
Universality Classes of Relativistic Fluid Dynamics: Foundations
Lorenzo Gavassino, Marcelo M. Disconzi, Jorge Noronha
A general organizing principle is proposed that can be used to derive the equations of motion describing the near-equilibrium dynamics of causal and thermodynamically stable relati…